Question

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Answer 1

Answer:

Answer of 15

The Boltzmann constant has the dimension energy divided by temperature, the same as entropy. as we know that pV=nRT. where N is the number of molecules of gas. For n = 1 mol, N is equal to the number of particles in one mole (Avogadro's number).

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Answer 2

Answer:

14)

It is given that x is displacement and t is time.

Unit of x is m and that of time t is s.

Since, the quantity Bxt must be dimensionless.

$⟹ Unit \: of \: B \: must \: be \: {m}^{ - 1} {s}^{ - 1}$

15)

Pressure is the ratio of force per unit area.

Hence, β is equivalent to the area, and unit of area is $m^2$

Hence, dimensions of area are$[L^2]$ i.e.

$[M^{0}L^{2}T^{0}]$

16)

It is given that the work done by the spring force is positive.

Spring force is always towards mean position hence the displacement should also be towards the mean position.

So, the spring has to be in the compressed state first, for both the spring force and the displacement to be in the same direction.

Option A and B.